Maximal elements and coincident points for couple-majorized mappings in product topological vector spaces

DOI10.4171/ZAA/646zbMath0848.47034OpenAlexW2023147566MaRDI QIDQ1909621

Paul Deguire, George Xian-Zhi Yuan

Publication date: 17 March 1996

Published in: Zeitschrift für Analysis und ihre Anwendungen (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4171/zaa/646

zbMATH Keywords

Fan-Browder fixed point theoremKnaster-Kuratowski-Mazurkiewicz lemmacomponent coincidence and fixed points theoremscouple-majorized mappingcouple-majorized set-valued families with arbitrary index setexistence theorems of maximal elementsproduct topological vector spacesSion minimax inequality

Mathematics Subject Classification ID

Variational and other types of inequalities involving nonlinear operators (general) (47J20) (n)-person games, (n>2) (91A06) Set-valued operators (47H04) Existence of solutions for minimax problems (49J35)

Related Items

Fixed point and maximal element theorems with applications to abstract economies and minimax inequalities, Fixed point and coincidence theorems of set-valued mappings in topological vector spaces with some applications

Cites Work

• Unnamed Item
• Unnamed Item
• On general minimax theorems
• On the use of KKM multifunctions in fixed point theory and related topics
• Existence of maximal elements and equilibria in linear topological spaces
• On the existence of equilibria in economies with infinitely many commodities and without ordered preferences
• Coincidences for set-valued maps and minimax inequalities
• Equilibria of non-compact generalized games with \( L^*\)-majorized preference correspondences
• KKM principle, fixed points, and Nash equilibria
• An equilibrium existence theorem without complete of transitive preferences
• The fixed point theory of multi-valued mappings in topological vector spaces
• A fixed point theorem and equilibrium point of an abstract economy
• A minimax inequality with applications to existence of equilibrium points